Page 45 - R2017-REC--BE Biomedical Curriculum and Syllabus

Department of BME, REC

SEMESTER IV

MA17353 PROBABILITY AND STATISTICS L T P C
Common to Chemical, Biotech, BME & IT 3 2 0 4

OBJECTIVE
• To provide the required skill to apply the statistical tools in Engineering problems.

UNIT I ONE – DIMENSIONAL RANDOM VARIABLE 15
Discrete and continuous random variables – Moments – Moment generating functions – Binomial,
Poisson, Geometric, Uniform, Exponential, Gamma, Weibull and Normal distributions – Functions
of Random Variable.

UNIT II TWO - DIMENSIONAL RANDOM VARIABLES 15
Joint distributions – Marginal and conditional distributions – Covariance – Correlation and Linear
regression – Transformation of random variables – Applications of Central Limit Theorem.

UNIT III TESTING OF HYPOTHESIS 15
Statistical hypothesis - Large sample test based on Normal distribution for single mean and
difference of means -Tests based on t, F and Chi-square test for single sample standard deviation.
Chi-square tests for independence of attributes and goodness of fit.

UNIT IV DESIGN OF EXPERIMENTS 15
One way and Two way classifications - Completely randomized design – Randomized block design
– Latin square design.

UNIT V STATISTICAL QUALITY CONTROL 15
Control charts for measurements (X and R charts) – Control charts for attributes (p, c and np
charts) – Tolerance limits - Acceptance sampling.
TOTAL: 75 PERIODS

OUTCOMES:
On completion of the course students will be able to
• Characterize standard probability distribution by employing basic techniques and methods
of probability mass function and probability density function for discrete and continuous
random variables
• Develop skills to solve problems on correlation and regression
• Obtain statistical data from experiments and able to analyze the same using statistical test.
• Design experiments using suitable ANOVA techniques and draw conclusions.
• Use control charts to study, analyze and interpret problems in statistical quality control.

TEXT BOOKS:
1. T. Veerarajan, “Probability, Statistics and Random Processes with Queueing Theory and
Queueing Networks” , Mc Graw Hill, 2016.
2. Johnson. R.A. and Gupta. C.B., “Miller and Freund’s Probability and Statistics
forEngineers", Pearson Education, Asia, 7th Edition, 2007.

REFERENCES:
1. Devore. J.L., “Probability and Statistics for Engineering and the Sciences”,
CengageLearning, New Delhi, 8th Edition, 2012.
2. Walpole. R.E., Myers. R.H., Myers. S.L. and Ye. K., "Probability and Statistics forEngineers
and Scientists", Pearson Education, Asia , 8th Edition, 2007.

Curriculum and Syllabus | B.E Biomedical Engineering | R 2017 Page 45